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Finding the Fourth Proportional to 213,140.70, 319,711.05 and 149,550.30

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Solution

The fourth proportional to 213,140.70, 319,711.05 and 149,550.30 is: 224,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,140.70 : 319,711.05 = 149,550.30 : x
  2. Step 2: Convert to fraction form
    213,140.70/319,711.05 = 149,550.30/x
  3. Step 3: Cross multiply
    213,140.70x = 319,711.05 × 149,550.30
  4. Step 4: Simplify right side
    213,140.70x = 47,812,883,440.82
  5. Step 5: Solve for x
    x = 47,812,883,440.82/213,140.70
  6. Step 6: Final answer
    x = 224,325.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.